On the Structure and Function of Scientific Perspectivism in Categorical Quantum Mechanics

British Journal for the Philosophy of Science 73 (3):811-848 (2022)
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Abstract

Contemporary scientific perspectivism is primarily viewed as a methodological framework of how we obtain and form scientific knowledge of nature, through a broadly perspectivist process, especially, with reference to quantum mechanics. In the present study, this is implemented by representing categorically the global structure of a quantum algebra of events in terms of structured interconnected families of local Boolean probing frames, realized as suitable perspectives or contexts for measuring physical quantities. The essential philosophical meaning of the proposed approach implies that the quantum world can be consistently approached and comprehended through a multilevel structure of locally variable perspectives, which interlock, in a category-theoretical environment, to form a coherent picture of the whole in a non-trivial way.

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Category Theory.S. Awodey - 2007 - Bulletin of Symbolic Logic 13 (3):371-372.
Scientific Perspectivism and Its Foes.Michela Massimi - 2012 - Philosophica 84 (1):25-52.
Perspectival models and theory unification.Alexander Rueger - 2005 - British Journal for the Philosophy of Science 56 (3):579-594.
Topoi: The Categorial Analysis of Logic.R. I. Goldblatt - 1982 - British Journal for the Philosophy of Science 33 (1):95-97.
Topos Theoretic Quantum Realism.Benjamin Eva - 2017 - British Journal for the Philosophy of Science 68 (4):1149-1181.

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